Simplify (-1-7i)(-5-4i)

Math
(-1-7i)(-5-4i)
Expand (-1-7i)(-5-4i) using the FOIL Method.
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Apply the distributive property.
-1(-5-4i)-7i(-5-4i)
Apply the distributive property.
-1⋅-5-1(-4i)-7i(-5-4i)
Apply the distributive property.
-1⋅-5-1(-4i)-7i⋅-5-7i(-4i)
-1⋅-5-1(-4i)-7i⋅-5-7i(-4i)
Simplify and combine like terms.
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Simplify each term.
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Multiply -1 by -5.
5-1(-4i)-7i⋅-5-7i(-4i)
Multiply -4 by -1.
5+4i-7i⋅-5-7i(-4i)
Multiply -5 by -7.
5+4i+35i-7i(-4i)
Multiply -7i(-4i).
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Multiply -4 by -7.
5+4i+35i+28ii
Raise i to the power of 1.
5+4i+35i+28(i1i)
Raise i to the power of 1.
5+4i+35i+28(i1i1)
Use the power rule aman=am+n to combine exponents.
5+4i+35i+28i1+1
Add 1 and 1.
5+4i+35i+28i2
5+4i+35i+28i2
Rewrite i2 as -1.
5+4i+35i+28⋅-1
Multiply 28 by -1.
5+4i+35i-28
5+4i+35i-28
Subtract 28 from 5.
-23+4i+35i
Add 4i and 35i.
-23+39i
-23+39i
Simplify (-1-7i)(-5-4i)

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